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DOI
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Journal
Affiliation
ISSN
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Numerical Solution of the Rotating Shallow Water Flows with Topography Using the Fractional Steps Method
(Articles)
Hossam S. Hassan
,
Khaled T. Ramadan
,
Sarwat N. Hanna
Applied Mathematics
Vol.1 No.2
,July 22, 2010
DOI:
10.4236/am.2010.12014
6,499
Downloads
12,286
Views
Citations
The Theory and Application of Upwind Finite Difference Fractional Steps Procedure for Seawater Intrusion
(Articles)
Yirang Yuan
,
Hongxing Rui
,
Dong Liang
,
Changfeng Li
International Journal of Geosciences
Vol.3 No.5A
,October 31, 2012
DOI:
10.4236/ijg.2012.325098
3,896
Downloads
6,403
Views
Citations
This article belongs to the Special Issue on
Advances in Mathematical and Computational Geosciences
Semilinear Fractional Elliptic Equation of Normal Solution
(Articles)
Tao Li
Open Access Library Journal
Vol.11 No.4
,March 29, 2024
DOI:
10.4236/oalib.1111412
17
Downloads
98
Views
Citations
Differential Transform Method for Some Delay Differential Equations
(Articles)
Baoqing Liu
,
Xiaojian Zhou
,
Qikui Du
Applied Mathematics
Vol.6 No.3
,March 24, 2015
DOI:
10.4236/am.2015.63053
4,881
Downloads
7,818
Views
Citations
Application of He’s Variational Iteration Method for the Analytical Solution of Space Fractional Diffusion Equation
(Articles)
Mehdi Safari
Applied Mathematics
Vol.2 No.9
,September 19, 2011
DOI:
10.4236/am.2011.29150
6,489
Downloads
11,580
Views
Citations
Application of Adomian’s Decomposition Method for the Analytical Solution of Space Fractional Diffusion Equation
(Articles)
Mohammad Danesh
,
Mehdi Safari
Advances in Pure Mathematics
Vol.1 No.6
,November 24, 2011
DOI:
10.4236/apm.2011.16062
7,172
Downloads
14,894
Views
Citations
Approximate Solution of Non-Linear Fractional Klein-Gordon Equation Using Spectral Collocation Method
(Articles)
Rubayyi T. Alqahtani
Applied Mathematics
Vol.6 No.13
,November 30, 2015
DOI:
10.4236/am.2015.613190
2,484
Downloads
3,445
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus
Chaos in a Fractional-Order Single-Machine Infinite-Bus Power System and Its Adaptive Backstepping Control
(Articles)
Zhanhong Liang
,
Jinfeng Gao
Int'l J. of Modern Nonlinear Theory and Application
Vol.5 No.3
,September 27, 2016
DOI:
10.4236/ijmnta.2016.53013
1,586
Downloads
2,641
Views
Citations
The Adomian Decomposition Method for a Type of Fractional Differential Equations
(Articles)
Peng Guo
Journal of Applied Mathematics and Physics
Vol.7 No.10
,October 24, 2019
DOI:
10.4236/jamp.2019.710166
1,060
Downloads
3,334
Views
Citations
A Fractional Model for the Single Stokes Pulse from the Nonlinear Optics
(Articles)
Mihai Ivan
Journal of Applied Mathematics and Physics
Vol.10 No.10
,October 9, 2022
DOI:
10.4236/jamp.2022.1010191
76
Downloads
362
Views
Citations
This article belongs to the Special Issue on
Geometry and Physics
Lagrange’s Spectral Collocation Method for Numerical Approximations of Two-Dimensional Space Fractional Diffusion Equation
(Articles)
Hasib Uddin Molla
,
Mushfika Hossain Nova
American Journal of Computational Mathematics
Vol.8 No.2
,June 13, 2018
DOI:
10.4236/ajcm.2018.82010
1,093
Downloads
2,465
Views
Citations
Chebyshev Pseudo-Spectral Method for Solving Fractional Advection-Dispersion Equation
(Articles)
N. H. Sweilam
,
M. M. Khader
,
M. Adel
Applied Mathematics
Vol.5 No.19
,November 18, 2014
DOI:
10.4236/am.2014.519301
5,017
Downloads
6,387
Views
Citations
This article belongs to the Special Issue on
Numerical Analysis
Approximate Technique for Solving Class of Fractional Variational Problems
(Articles)
Emad M. Solouma
,
Mohamed M. Khader
Applied Mathematics
Vol.6 No.5
,May 19, 2015
DOI:
10.4236/am.2015.65078
3,745
Downloads
4,755
Views
Citations
ADI Finite Element Method for 2D Nonlinear Time Fractional Reaction-Subdiffusion Equation
(Articles)
Peng Zhu
,
Shenglan Xie
American Journal of Computational Mathematics
Vol.6 No.4
,December 21, 2016
DOI:
10.4236/ajcm.2016.64034
1,968
Downloads
3,679
Views
Citations
Numerical Solution of Fractional Differential Equations
(Articles)
Adnan Daraghmeh
,
Naji Qatanani
,
Aya Saadeh
Applied Mathematics
Vol.11 No.11
,November 13, 2020
DOI:
10.4236/am.2020.1111074
1,602
Downloads
7,125
Views
Citations
Numerical Study of Fractional Differential Equations of Lane-Emden Type by Method of Collocation
(Articles)
Mohammed S. Mechee
,
Norazak Senu
Applied Mathematics
Vol.3 No.8
,August 1, 2012
DOI:
10.4236/am.2012.38126
6,339
Downloads
11,103
Views
Citations
A New Approach for the Exact Solutions of Nonlinear Equations of Fractional Order via Modified Simple Equation Method
(Articles)
Muhammad Younis
Applied Mathematics
Vol.5 No.13
,July 10, 2014
DOI:
10.4236/am.2014.513186
4,724
Downloads
6,835
Views
Citations
The Traveling Wave Solutions of Space-Time Fractional Differential Equation Using Fractional Riccati Expansion Method
(Articles)
Xiaohua Liu
Journal of Applied Mathematics and Physics
Vol.6 No.10
,October 10, 2018
DOI:
10.4236/jamp.2018.610167
868
Downloads
1,838
Views
Citations
Laplace Decomposition Method for Time-Fractional Fornberg-Whitham Type Equations
(Articles)
Thilagarajah Mathanaranjan
,
Dayalini Vijayakumar
Journal of Applied Mathematics and Physics
Vol.9 No.2
,February 25, 2021
DOI:
10.4236/jamp.2021.92019
429
Downloads
1,143
Views
Citations
On Solutions of Generalized Bacterial Chemotaxis Model in a Semi-Solid Medium
(Articles)
Ahmed M. A. El-Sayed
,
Saad Z. Rida
,
Anas A. M. Arafa
Applied Mathematics
Vol.2 No.12
,December 27, 2011
DOI:
10.4236/am.2011.212214
4,920
Downloads
8,046
Views
Citations
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